The number 59696
59696 is a composite number with 40 divisors. Its prime factorisation is × 7 × 13 × 41. Divisors (40): 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 41, 52, 56, 82, 91, 104 … 59696.
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How to work it out
- 1
59696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59696 is composite. Its prime factorisation is
- 3
The divisors add up to 145824; without 59696 itself that is 86128, so 59696 is abundant (86128 is more than 59696). Euler's totient φ(59696) = 23040 numbers up to 59696 share no factor with it.
- 4
The digits of 59696 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59696 = 2^{4} \times 7 \times 13 \times 41 \]59696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 145824 |
| Euler totient φ(n) | 23040 |
| Square | 3563612416 |
| Cube | 212733406785536 |
| Square root | 244.327649 (= 4√3731) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9696 × |
59696 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand six hundred and ninety-six |
| Binary (base 2) | 1110100100110000 |
| Octal (base 8) | 164460 |
| Hexadecimal (base 16) | E930 |
| Base 3 | 10000212222 |
| As time | 59696 seconds = 16 h 34 min 56 s |
Is 59696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59696 ÷ 2 = 29848) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59696 ÷ 4 = 14924) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (59696 ÷ 7 = 8528) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (59696 ÷ 8 = 7462) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59696 a prime number?
No. 59696 = × 7 × 13 × 41, so it is divisible by 2.
What are the factors of 59696?
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 41, 52, 56, 82, 91, 104, 112, 164, 182, 208, 287, 328, 364, 533, 574, 656, 728, 1066, 1148, 1456, 2132, 2296, 3731, 4264, 4592, 7462, 8528, 14924, 29848, 59696.
What is 59696 in binary?
1110100100110000 (hexadecimal E930, octal 164460).
What is the square root of 59696?
About 244.3276, exactly 4√3731.
Is 59696 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 59696?
It is a composite number with 40 divisors.